Prime p₀= 2127768805790411627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: retroactivemind
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2127767191960394363	0 38 66 110 126 150 168 186 200 218 236 260 276 320 348 386	-1613830017264
SPT(16)	2127767381941023553	0 16 108 118 126 136 156 174 220 238 258 268 276 286 378 394	-1423849388074
STPT(10)	2127767600968847819	0 2 42 44 60 62 78 80 120 122	-1204821563808
TPT(14)	2127768430625708471	0 2 150 152 168 170 198 200 210 212 228 230 276 278	-375164703156
TPT(14)	2127768492235893317	0 2 24 26 42 44 54 56 114 116 180 182 360 362	-313554518310
STPT(10)	2127768711832076141	0 2 6 8 48 50 90 92 96 98	-93958335486
STPT(10)	2127768993779802797	0 2 30 32 72 74 114 116 144 146	187989391170
SPT(16)	2127769133740209889	0 52 70 90 138 144 178 210 262 294 328 334 382 402 420 472	327949798262
SPT(16)	2127769366386584971	0 22 30 42 100 108 130 142 156 168 190 198 256 268 276 298	560596173344
SPT(16)	2127769931905717769	0 18 48 60 90 104 138 150 182 194 228 242 272 284 314 332	1126115306142
SPT(16)	2127770254151290159	0 24 64 78 90 94 112 130 192 210 228 232 244 258 298 322	1448360878532